Recent content by future_phd

Ahh that makes sense, thank you!

Homework Statement Find the area inside the lemniscate r = 2sqrt(sin(2theta)) Homework Equations Integral from a to b of (1/2)[f(theta)]^2 d(theta) The Attempt at a Solution I tried integrating from 0 to 2pi and got an area of 0. Then I tried integrating from 0 to pi and still...

I live in Canada (Ontario).

Hey, What undergrad marks do you usually need to get into whatever you need to do to become a High School Teacher? Thanks!

I think when it comes down to it, you're not going to enjoy every single subject that you study even if it's related to the field that you want to study. You've said that you know that the field your in is right for you, so I think it just comes down to grinding through the areas you're not...

In general I say read a section and make notes in the margins if necessary, then try as many examples as possible. Start out with easy examples that focus on using basic formulas or algorithms. Then move on to the ones that require a bit more depth/understanding of the material. Make a list...

Cool, thanks a bunch!

Most people on here are American and so usually most of the talk is about American grad schools, but since I'm Canadian I'm wondering what the best Canadian grad schools are for pure math? And how hard would it be to get into these programs compared to, let's say, the top 10 American Universities?

Homework Statement Prove that any integer n >= 2 such that n divides (n-1)! + 1 is prime. Homework Equations The Attempt at a Solution I'm having trouble getting started, I have no idea how to approach this, can someone give a hint on where to begin maybe because I'm just not...

I find that if you put enough time into anything you can and will get good at it. Different people require different amounts of time, but in general I think that those who aren't doing very good aren't putting in enough time. If you truly have the passion and motivation to do something, you...

In this situation the mean and the median are the same.

Ahh! That makes sense, that's probably what it's asking. Thanks! :D

Homework Statement Find a one-to-one correspondence between the binary strings (i.e. sequences of 0's and 1's) of length k that have an odd number of 1's, and those that have an even number of 1's. Homework Equations The Attempt at a Solution I'm not exactly sure of what it's...

Edit: DOH, nevermind, I get it now. The null space is the vectors that get mapped to the zero vector by the matrix. So if you take the matrix's row space and multiply by each of the basis vectors of the nullspace, you will get zero vectors in return (or since it was a matrix of the basis...

Homework Statement Construct a matrix E such that its rows are the basis vectors for rowA and a matrix F such that its columns are the basis vectors for nulA. Compute EF. Explain your results. Homework Equations Basis for NulA was { [3 2 1 0], [1 3 0 1] } (except vertical) Basis for...